{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lid-driven Cavity\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/grids/Lid_Driven_Cavity.ipynb)\n",
    "\n",
    "This notebook implements the popular lid-driven cavity fluid simulation.\n",
    "Fluid inside a closed box is forced at the top boundary which has a constant right-pointing velocity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install phiflow\n",
    "from phi.jax.flow import *\n",
    "# from phi.flow import *  # If JAX is not installed. You can use phi.torch or phi.tf as well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We define our fluid simulation consisting of advection, diffusion and incompressibility."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit_compile\n",
    "def step(v, p, dt=1., viscosity=.1):\n",
    "    v = advect.semi_lagrangian(v, v, dt)\n",
    "    v = diffuse.explicit(v, viscosity, dt)\n",
    "    v, p = fluid.make_incompressible(v, solve=Solve(x0=p))\n",
    "    return v, p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we define the boundary and run the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "boundary = {'x': 0, 'y-': 0, 'y+': vec(x=1, y=0)}\n",
    "v0 = StaggeredGrid(0, boundary, x=50, y=32)\n",
    "v_trj, p_trj = iterate(step, batch(time=300), v0, None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
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       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x1fe99fa1eb0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frames = v_trj.time[::8]\n",
    "plot(frames, animate='time')"
   ]
  }
 ],
 "metadata": {
  "language_info": {
   "name": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
